LEADER 03840nam 2200649 450 001 9910144603003321 005 20220211111058.0 010 $a1-280-61498-6 010 $a9786610614981 010 $a3-540-33484-X 024 7 $a10.1007/b11550259 035 $a(CKB)1000000000232749 035 $a(SSID)ssj0000103028 035 $a(PQKBManifestationID)11131325 035 $a(PQKBTitleCode)TC0000103028 035 $a(PQKBWorkID)10060854 035 $a(PQKB)10948710 035 $a(DE-He213)978-3-540-33484-2 035 $a(MiAaPQ)EBC3036437 035 $a(MiAaPQ)EBC6867964 035 $a(Au-PeEL)EBL6867964 035 $z(PPN)258845627 035 $a(PPN)123130263 035 $a(EXLCZ)991000000000232749 100 $a20220211d2006 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aAnalytical and numerical approaches to mathematical relativity /$fJo?rg Frauendiener, Domenico J. W . Giulini, Volker Perlick (editors) 205 $a1st ed. 2006. 210 1$aBerlin ;$aHeidelberg :$cSpringer,$d[2006] 210 4$d©2006 215 $a1 online resource (XVII, 281 p.) 225 1 $aLecture notes in physics ;$vVolume 692 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-31027-4 320 $aIncludes bibliographical references and index. 327 $aDifferential Geometry and Differential Topology -- A Personal Perspective on Global Lorentzian Geometry -- The Space of Null Geodesics (and a New Causal Boundary) -- Some Variational Problems in Semi-Riemannian Geometry -- On the Geometry of pp-Wave Type Spacetimes -- Analytical Methods and Differential Equations -- Concepts of Hyperbolicity and Relativistic Continuum Mechanics -- Elliptic Systems -- Mathematical Properties of Cosmological Models with Accelerated Expansion -- The Poincaré Structure and the Centre-of-Mass of Asymptotically Flat Spacetimes -- Numerical Methods -- Computer Simulation ? a Tool for Mathematical Relativity ? and Vice Versa -- On Boundary Conditions for the Einstein Equations -- Recent Analytical and Numerical Techniques Applied to the Einstein Equations -- Some Mathematical Problems in Numerical Relativity. 330 $aToday, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike. 410 0$aLecture notes in physics ;$vVolume 692. 606 $aMathematical physics 606 $aRelativity (Physics)$xMathematics 615 0$aMathematical physics. 615 0$aRelativity (Physics)$xMathematics. 676 $a530.110151 702 $aGiulini$b D$g(Domenico),$f1959- 702 $aPerlick$b Volker$f1956- 702 $aFrauendiener$b J$g(Jo?rg),$f1958- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144603003321 996 $aAnalytical and numerical approaches to mathematical relativity$9744522 997 $aUNINA